TSTP Solution File: SEU121+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 13:35:43 EDT 2022
% Result : Theorem 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 06:52:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.56 # Version: 1.3
% 0.18/0.56 # SZS status Theorem
% 0.18/0.56 # SZS output start CNFRefutation
% 0.18/0.56 fof(t1_xboole_1,conjecture,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),input).
% 0.18/0.56 fof(c12,negated_conjecture,(~(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C)))))),inference(assume_negation,status(cth),[t1_xboole_1])).
% 0.18/0.56 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:((subset(A,B)&subset(B,C))&~subset(A,C))))),inference(fof_nnf,status(thm),[c12])).
% 0.18/0.56 fof(c14,negated_conjecture,(?[X7]:(?[X8]:(?[X9]:((subset(X7,X8)&subset(X8,X9))&~subset(X7,X9))))),inference(variable_rename,status(thm),[c13])).
% 0.18/0.56 fof(c15,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0002,skolem0003))&~subset(skolem0001,skolem0003)),inference(skolemize,status(esa),[c14])).
% 0.18/0.56 cnf(c18,negated_conjecture,~subset(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 0.18/0.56 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 0.18/0.56 fof(c31,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 0.18/0.56 fof(c32,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c31])).
% 0.18/0.56 fof(c33,axiom,((![X13]:(![X14]:(~subset(X13,X14)|(![X15]:(~in(X15,X13)|in(X15,X14))))))&(![X16]:(![X17]:((?[X18]:(in(X18,X16)&~in(X18,X17)))|subset(X16,X17))))),inference(variable_rename,status(thm),[c32])).
% 0.18/0.56 fof(c35,axiom,(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:((~subset(X13,X14)|(~in(X15,X13)|in(X15,X14)))&((in(skolem0006(X16,X17),X16)&~in(skolem0006(X16,X17),X17))|subset(X16,X17)))))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X13]:(![X14]:(~subset(X13,X14)|(![X15]:(~in(X15,X13)|in(X15,X14))))))&(![X16]:(![X17]:((in(skolem0006(X16,X17),X16)&~in(skolem0006(X16,X17),X17))|subset(X16,X17))))),inference(skolemize,status(esa),[c33])).])).
% 0.18/0.56 fof(c36,axiom,(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:((~subset(X13,X14)|(~in(X15,X13)|in(X15,X14)))&((in(skolem0006(X16,X17),X16)|subset(X16,X17))&(~in(skolem0006(X16,X17),X17)|subset(X16,X17))))))))),inference(distribute,status(thm),[c35])).
% 0.18/0.56 cnf(c39,axiom,~in(skolem0006(X62,X63),X63)|subset(X62,X63),inference(split_conjunct,status(thm),[c36])).
% 0.18/0.56 cnf(c17,negated_conjecture,subset(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 0.18/0.56 cnf(c37,axiom,~subset(X50,X52)|~in(X51,X50)|in(X51,X52),inference(split_conjunct,status(thm),[c36])).
% 0.18/0.56 cnf(c16,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 0.18/0.56 cnf(c38,axiom,in(skolem0006(X55,X56),X55)|subset(X55,X56),inference(split_conjunct,status(thm),[c36])).
% 0.18/0.56 cnf(c68,plain,in(skolem0006(skolem0001,skolem0003),skolem0001),inference(resolution,status(thm),[c38, c18])).
% 0.18/0.56 cnf(c78,plain,~subset(skolem0001,X116)|in(skolem0006(skolem0001,skolem0003),X116),inference(resolution,status(thm),[c68, c37])).
% 0.18/0.56 cnf(c117,plain,in(skolem0006(skolem0001,skolem0003),skolem0002),inference(resolution,status(thm),[c78, c16])).
% 0.18/0.56 cnf(c120,plain,~subset(skolem0002,X140)|in(skolem0006(skolem0001,skolem0003),X140),inference(resolution,status(thm),[c117, c37])).
% 0.18/0.56 cnf(c162,plain,in(skolem0006(skolem0001,skolem0003),skolem0003),inference(resolution,status(thm),[c120, c17])).
% 0.18/0.56 cnf(c170,plain,subset(skolem0001,skolem0003),inference(resolution,status(thm),[c162, c39])).
% 0.18/0.56 cnf(c176,plain,$false,inference(resolution,status(thm),[c170, c18])).
% 0.18/0.56 # SZS output end CNFRefutation
% 0.18/0.56
% 0.18/0.56 # Initial clauses : 21
% 0.18/0.56 # Processed clauses : 65
% 0.18/0.56 # Factors computed : 1
% 0.18/0.56 # Resolvents computed: 134
% 0.18/0.56 # Tautologies deleted: 2
% 0.18/0.56 # Forward subsumed : 43
% 0.18/0.56 # Backward subsumed : 5
% 0.18/0.56 # -------- CPU Time ---------
% 0.18/0.56 # User time : 0.209 s
% 0.18/0.56 # System time : 0.013 s
% 0.18/0.56 # Total time : 0.222 s
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